Complex Structures, Duality, and WZW-Models in Extended Superspace

Details Complex Structures, Duality, and WZW-Models in Extended Superspace Complex Structures, Duality, and WZW-Models in Extended Superspace

1994-06-10

arxiv.org/abs/hep-th/9406063v3

Phys.Lett. B343 (1995) 133-143

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 16 pages. In this revised manuscript, we add a section and an author, and alter one of the conclusions of the paper

Scientific paper

10.1016/0370-2693(94)01476-S

We find the complex structure on the dual of a complex target space. For $N=(2,2)$ systems, we prove that the space orthogonal to the kernel of the commutator of the left and right complex structures is {\em always} integrable, and hence the kernel is parametrized by chiral and twisted chiral superfield coordinates. We then analyze the particular case of $SU(2)\times SU(2)$, and are led to a new $N=2$ superspace formulation of the $SU(2)\times U(1)$ WZW-model.

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